Review 8.8

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Factor 4x²-9

Fully Factor the Following
25x²-81 (a)  

• (5x-9)²
• (5x+9)(5x-9)
• 25(x-9)²
• (9x+5)(9x-5)

9x² - 49y⁶

• ( 3x + 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x + 7y³) 
• ( 3x - 7y³) (3x - 7y³) 
• Prime

3x² - 75

• 3( x + 5 ) ( x - 5 ) 
• Prime
• ( x + 5 ) ( x - 5 ) 
• 3( x - 5 ) ( x - 5 ) 

4m³ + 49

• 4(m² + 49)

• Prime

• (m + 7) (m + 7)

• (m + 7) (m - 7)

What does the 2nd step look like?

r⁴ - q⁴

• (r² + q²) (r² - q²)
• (r² - q²) (r² - q²)
• (r + q) (r - q)
• Can't factor using Diff. of Squares

9n² + 1

• (3n + 1) (3n - 1)
• (3n - 1) (3n - 1)
• (n + 3) (n - 3)
• Can't factor using Diff. of Squares

x² - 121

Mathematical Equivalence

ON

x⁴ - 1296

Mathematical Equivalence

ON